Nonlinear Systems (3rd Edition)

Author: Zhu Yisheng
Publisher:
Publish Date: 2005-07-01
Features: The study of nonlinear systems has garnered increasing attention in recent years, and many engineering schools abroad have incorporated "Nonlinear Systems" as a graduate-level course for relevant disciplines. This book serves as a graduate textbook for the Electrical and Computer Engineering program at Michigan State University, with its content divided into four parts based on the progression of mathematical knowledge. The Basic Analysis section introduces fundamental concepts and methods for analyzing nonlinear systems. The Feedback System Analysis section covers input-output stability, passivity, and frequency-domain analysis of feedback systems. The Modern Analysis section presents the basic concepts of modern stability analysis, stability of perturbed systems, perturbation theory, averaging, and singular perturbation theory. The Nonlinear Feedback Control section introduces the fundamental concepts of feedback control and feedback linearization, along with several nonlinear design tools such as sliding mode control, Lyapunov redesign, backstepping, passivity-based control, and high-gain observers. Additionally, the appendix of this book compiles some mathematical knowledge used in the text, including a review of basic mathematics, the contraction mapping theorem, and some more complex proofs. This book can serve as a textbook for graduate-level courses on nonlinear systems, as well as a self-study guide or reference for engineering professionals, applied mathematicians, and other relevant personnel.